86006358767 has 16 divisors (see below), whose sum is σ = 99226459200. Its totient is φ = 73020061440.

The previous prime is 86006358749. The next prime is 86006358833. The reversal of 86006358767 is 76785360068.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 86006358767 - 2¹² = 86006354671 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86006358667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2624459 + ... + 2657027.

It is an arithmetic number, because the mean of its divisors is an integer number (6201653700).

Almost surely, 2^86006358767 is an apocalyptic number.

86006358767 is a deficient number, since it is larger than the sum of its proper divisors (13220100433).

86006358767 is a wasteful number, since it uses less digits than its factorization.

86006358767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36146.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 86006358767 in words is "eighty-six billion, six million, three hundred fifty-eight thousand, seven hundred sixty-seven".